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Finding the Fourth Proportional to 517,872.80, 778,558.80 and 440,890.40

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Solution

The fourth proportional to 517,872.80, 778,558.80 and 440,890.40 is: 662,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,872.80 : 778,558.80 = 440,890.40 : x
  2. Step 2: Convert to fraction form
    517,872.80/778,558.80 = 440,890.40/x
  3. Step 3: Cross multiply
    517,872.80x = 778,558.80 × 440,890.40
  4. Step 4: Simplify right side
    517,872.80x = 343,259,100,755.52
  5. Step 5: Solve for x
    x = 343,259,100,755.52/517,872.80
  6. Step 6: Final answer
    x = 662,825.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.